背锥切平面法的直齿锥齿轮建模研究

Research of Straight Bevel Gear Modeling based on Back Cone Tangent Plane Method

随着制造业信息化的发展,建立齿轮的数学模型显得尤为重要,它是分析齿轮啮合性能的基础。对于直齿锥齿轮产品,由于理论球面渐开线设计制造困难,其实际齿形为大端切平面内的平面渐开线齿形。为了达到锥齿轮产品建模、设计、制造的一致性,应用当量齿数法,通过坐标变换给出了直齿锥齿轮大、小端背锥切平面上的渐开线参数方程,可简化建模过程。同时利用该方程建立了直齿锥齿轮的数学模型,并对建模精度进行了分析,建模精度满足设计、制造要求。

With the development of manufacturing industry informatization,the gear product modeling is particularly important,it is the basis of analyzing the gear mesh performance.The actual tooth profile of straight bevel gear is plane involutes on its big end back cone tangent plane,because of the theory of involutes spherical design and manufacturing difficulty.For bevel gear product consistency in modeling,design and manufacturing,by using the equivalent teeth number method,involutes parametric equation is established on straight bevel gear big end back cone tangent plane through coordinate transformation.The straight bevel gear model is established by using this method.The modeling process is simplified.The modeling accuracy is satisfied design and manufacturing by analysis.